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aleksandrvk [35]
3 years ago
12

Ignore everything I wrote but I’m supposed to be writing two-column proofs and I need help with these

Mathematics
1 answer:
zavuch27 [327]3 years ago
7 0

What you have so far is perfect. You started with the given statements and then use the definition of midpoint to show that each piece is equal to one another.

From here, use the transitive property

We combine these two statements

  • WX = XY
  • XY = YZ

into the following

WX = YZ

So we can effectively say WX = XY = YZ meaning the segments WX, XY and YZ are all the same length.

Through similar logic, we can chain together

  • VW = WX
  • WX = XY

to get VW = XY

-------------

Consequently this means VW, WX, XY, and YZ are all the same length

Let's call that length m.

m = length of segment VW = length of WX = etc etc

This means,

VY = VW+WX+XY = m+m+m = 3m

and

WZ = WX+XY+YZ = m+m+m = 3m

Both VY and WZ are exactly 3m units long, therefore, VY = WZ

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An observer (O) spots a plane (P) taking off from a local airport and flying at a 33° angle horizontal to her line of sight and
docker41 [41]

Answer:

the distance of the Bird (B) from the plane (P)  is = 10779  ft

Step-by-step explanation:

From the given information:

a diagrammatic representation is attached below for better understanding and solution to the question.

From the diagram;

Let the Bird (B) be represent as A

The plane (P) be represented by B

The observer be represented by O

and the tower T be represented by C

we will see that:

\overline {AB}  \ \| \ \overline {OC}

Also;

\angle ABO = \angle BOC = 33^0

AO = BC = 7000

Let consider the trigonometry of  triangle BAO

tan θ = opposite/adjacent

tan 33° = 7000/x

0.6494 = 7000/x

x = 7000/0.6494

x = 10779.18

x = 10779  ft    ( to the nearest whole number)

Thus; the distance of the Bird (B) from the plane (P)  is = 10779  ft

7 0
3 years ago
find each unit rate round to the nearest hundredth if necessary on a hundred and $140 for 18 ft squared
Marina86 [1]
Divide both by 18. 
<span>140/18=7.78 </span>

<span>So... $7.78 per foot</span>
4 0
3 years ago
Find the length of side x.
Nata [24]

Answer:

i think it is 61

Step-by-step explanation:

5 0
3 years ago
Find the solution to the system of equations -3x-9y=18 4x+3y=12
chubhunter [2.5K]

Answer:

(6,-4)

Step-by-step explanation:

-3x-9y = 18 (equation 1)

4x+3y = 12 (equation 2)

multiply equation 2 by 3, and add it to equation 2

-3x-9y = 18

12x+9y = 36

-----------------

X's cancel out

9x = 54

Divide both sides by 9

x = 6

Plug in 6 for x in any of the original equations

(Plugging into Equation 2)

4(6)+3y = 12       Multiply 4(6)

24+3y = 12         Subtract 24 from both sides

3y = -12              Divide 3 on both sides

y = -4

Therefore the solution is (6,-4).

6 0
3 years ago
A cube and a square pyramid were joined to form the composite solid. A cube with side lengths of 12 inches. A square pyramid wit
Artyom0805 [142]

Answer:

936 square inches

Step-by-step explanation:

8 0
3 years ago
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